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145460640 = 25351323311
BaseRepresentation
bin10001010101110…
…00110110100000
3101010201011111010
420222320312200
5244214220030
622233420520
73414252333
oct1052706640
9333634433
10145460640
1175121806
124086a740
132419c9b0
141546661a
15cb846b0
hex8ab8da0

145460640 has 96 divisors (see below), whose sum is σ = 493468416. Its totient is φ = 35804160.

The previous prime is 145460597. The next prime is 145460647. The reversal of 145460640 is 46064541.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×1454606403 (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 145460598 and 145460607.

It is not an unprimeable number, because it can be changed into a prime (145460647) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5416 + ... + 17895.

It is an arithmetic number, because the mean of its divisors is an integer number (5140296).

Almost surely, 2145460640 is an apocalyptic number.

145460640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

145460640 is an abundant number, since it is smaller than the sum of its proper divisors (348007776).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

145460640 is a wasteful number, since it uses less digits than its factorization.

145460640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23342 (or 23334 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 145460640 is about 12060.7064469707. The cubic root of 145460640 is about 525.9145239335.

The spelling of 145460640 in words is "one hundred forty-five million, four hundred sixty thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 32 39 40 48 52 60 65 78 80 96 104 120 130 156 160 195 208 240 260 312 390 416 480 520 624 780 1040 1248 1560 2080 3120 6240 23311 46622 69933 93244 116555 139866 186488 233110 279732 303043 349665 372976 466220 559464 606086 699330 745952 909129 932440 1118928 1212172 1398660 1515215 1818258 1864880 2237856 2424344 2797320 3030430 3636516 3729760 4545645 4848688 5594640 6060860 7273032 9091290 9697376 11189280 12121720 14546064 18182580 24243440 29092128 36365160 48486880 72730320 145460640